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Finding the Fourth Proportional to 392,516.80, 588,775.20 and 353,150.80

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Solution

The fourth proportional to 392,516.80, 588,775.20 and 353,150.80 is: 529,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,516.80 : 588,775.20 = 353,150.80 : x
  2. Step 2: Convert to fraction form
    392,516.80/588,775.20 = 353,150.80/x
  3. Step 3: Cross multiply
    392,516.80x = 588,775.20 × 353,150.80
  4. Step 4: Simplify right side
    392,516.80x = 207,926,432,900.16
  5. Step 5: Solve for x
    x = 207,926,432,900.16/392,516.80
  6. Step 6: Final answer
    x = 529,726.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.